3y+2x-1=4x-2(1-y)

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Solution for 3y+2x-1=4x-2(1-y) equation:


Simplifying
3y + 2x + -1 = 4x + -2(1 + -1y)

Reorder the terms:
-1 + 2x + 3y = 4x + -2(1 + -1y)
-1 + 2x + 3y = 4x + (1 * -2 + -1y * -2)
-1 + 2x + 3y = 4x + (-2 + 2y)

Reorder the terms:
-1 + 2x + 3y = -2 + 4x + 2y

Solving
-1 + 2x + 3y = -2 + 4x + 2y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-1 + 2x + -4x + 3y = -2 + 4x + -4x + 2y

Combine like terms: 2x + -4x = -2x
-1 + -2x + 3y = -2 + 4x + -4x + 2y

Combine like terms: 4x + -4x = 0
-1 + -2x + 3y = -2 + 0 + 2y
-1 + -2x + 3y = -2 + 2y

Add '1' to each side of the equation.
-1 + -2x + 1 + 3y = -2 + 1 + 2y

Reorder the terms:
-1 + 1 + -2x + 3y = -2 + 1 + 2y

Combine like terms: -1 + 1 = 0
0 + -2x + 3y = -2 + 1 + 2y
-2x + 3y = -2 + 1 + 2y

Combine like terms: -2 + 1 = -1
-2x + 3y = -1 + 2y

Add '-3y' to each side of the equation.
-2x + 3y + -3y = -1 + 2y + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = -1 + 2y + -3y
-2x = -1 + 2y + -3y

Combine like terms: 2y + -3y = -1y
-2x = -1 + -1y

Divide each side by '-2'.
x = 0.5 + 0.5y

Simplifying
x = 0.5 + 0.5y

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